please help me. AB is parellel to EF find x
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Answer:
x=60
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Answered by
0
answer:
20°
step by step explanation:
It is given that AB∥CD and BC is transversal
from the figure we know that ∠BCD and ∠ABC are alternate interior angles
so we get
∠ABC=∠BCD
in order to find the value of x we can write it as
x
o
+∠ECD=70
o
....(i)
It is given that CD∥EF and CE is transversal
from the figure we know that ∠ECD and ∠CEF are consecutive interior angles
so we get
∠ECD+∠CEF=180
o
by substituting the values
∠ECD+130
o
=180
o
∠ECD=180
o
−130
o
∠ECD=50
o
Now by substituting ∠ECD in equation (i) we get
x
o
+∠ECD=70
o
x
o
+50
o
=70
o
x
o
=20
o
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